## Advances in Dynamic Games and ApplicationsGame theory is a rich and active area of research of which this new volume of the Annals of the International Society of Dynamic Games is yet fresh evidence. Since the second half of the 20th century, the area of dynamic games has man aged to attract outstanding mathematicians, who found exciting open questions requiring tools from a wide variety of mathematical disciplines; economists, so cial and political scientists, who used game theory to model and study competition and cooperative behavior; and engineers, who used games in computer sciences, telecommunications, and other areas. The contents of this volume are primarily based on selected presentation made at the 8th International Symposium of Dynamic Games and Applications, held in Chateau Vaalsbroek, Maastricht, the Netherlands, July 5-8, 1998; this conference took place under the auspices of the International Society of Dynamic Games (ISDG), established in 1990. The conference has been cosponsored by the Control Systems Society of the IEEE, IFAC (International Federation of Automatic Con trol), INRIA (Institute National de Recherche en Informatique et Automatique), and the University of Maastricht. One ofthe activities of the ISDG is the publica tion of the Annals. Every paper that appears in this volume has passed through a stringent reviewing process, as is the case with publications for archival journals. |

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### Contents

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5 | |

A Historical Perspective on Cooperative Differential Games | 19 |

Certainty Equivalence Principle and Minimax Team Problems 31 | 30 |

The Impact of Different | 45 |

Mixed Strategies for Hierarchical ZeroSum Games | 65 |

The Existence and Uniqueness of Equilibria in Convex Games with | 78 |

Stochasic Games | 99 |

Perturbed ZeroSum Games with Applications to Stochastic | 165 |

Construction of Singular Surfaces | 185 |

Parallel Algorithms for the Isaacs Equation | 203 |

Computation of Sadapted Equilibria in Piecewise Deterministic | 224 |

Comparison of Two Numerical Approaches for the Barrier and Value | 253 |

On Optimal Missile Guidance Upgrades with Dynamic Stackelberg | 275 |

Computation of Level Sets of | 295 |

The Tragedy of the Commons Modelled by Large Games | 323 |

### Other editions - View all

Advances in Dynamic Games and Applications Eitan Altmann,Odile Pourtallier No preview available - 2012 |

### Common terms and phrases

absorbing sets agents algorithm approximating game assume assumption behavior computation consider constraints continuous continuous-time control problems convergence corresponding cost function curve defined definition denote differential games discrete discrete-time distribution Dynamic Games equilibrium payoff example exists fast learning Figure finite Game Theory given H-agents Haurie implies inf sup information structure initial Lemma level sets linear Markov chain Markov games Math Mathematical matrix games minimax missile mutation Nash equilibrium nodes notation obtained oligopoly open-loop Oper Res optimal control optimal strategies pair paper path persistently e-optimal perturbed play policies Proof properties Proposition pursuit—evasion resp S-adapted saddle points scenario second player Section sequence signaling games singular surfaces stationary policies stationary strategies stochastic games strategy spaces subset switch Theorem trajectories transition probabilities unique value function variational inequality vector viscosity solution zero-sum game